Ratio & proportion (Higher)

Edexcel 1MA1 R

GCSE Maths (1MA1) · Higher · exam-style practice, examiner-report intelligence and the tools that drill it.

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Edexcel 1MA1 revision notes Edexcel 1MA1 past papers

The topic on one screen

Reverse percentages: the increase itself tells you what one percent is worth — £240 from a 20% rise means 1% = £12.
Direct proportion: $y = kx$ . Find $k$ from the given pair FIRST, then answer the question.
Inverse proportion: $y = \dfrac{k}{x}$ (or $\dfrac{k}{x^2}$ when stated) — same two-step routine: find $k$ , then substitute.
Ratios in context: introduce a multiplier (parts of size $m$ ), turn the ratio into algebra, solve for $m$ .
Combining ratios: scale them to share a common term before merging.
Non-calculator arithmetic is part of the mark: $8.46 \div 0.15$ style divisions open the paper — shift both numbers until the divisor is whole.

Where students actually lose marks

Proportion questions are marked on the constant: quoting $y = kx$ with $k$ evaluated earns the method even if the final substitution slips — skipping straight to a guessed answer earns nothing.

June 2023 Paper 1H mark scheme (Q13)

In multi-step ratio problems the scheme rewards a clear representation (parts as algebra) — answers with no visible structure gamble everything on the final number being right.

June 2023 Paper 1H mark scheme (Q18)

An incorrectly cancelled final fraction loses the mark even when the uncancelled value was correct — finish, then leave it alone.

June 2023 Paper 1H mark scheme (general guidance)

Try it — exam-style

Medium

ORIGINAL · after June 2023 Paper 1H Q07

The price of a laptop increases by 15%. This 15% increase adds £90 to the price. Work out the price of the laptop after the increase.

(3)

(Total for Question 1 is 3 marks)

Easy

ORIGINAL · after June 2023 Paper 1H Q13

y

is directly proportional to

x

, and

y = 21

when

x = 1.5

. Work out the value of

y

when

x = 5

(3)

(Total for Question 2 is 3 marks)

Hard

ORIGINAL · after June 2023 Paper 1H Q18

3 kg of apples and 2 kg of pears cost a total of 140p. The cost of 1 kg of apples : the cost of 1 kg of pears

= 1 : 2

. Work out the cost of 1 kg of pears.

(3)

(Total for Question 3 is 3 marks)

Medium

ORIGINAL

y

is inversely proportional to the square of

x

, and

y = 4

when

x = 3

. Find

y

when

x = 2

(3)

(Total for Question 4 is 3 marks)

Questions are written in the style of past Edexcel papers (source shown on each) — never copied from them.

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Drill it properly

Mental Maths Trainer

The non-calculator speed these questions assume.

Rounding Trainer

Sig figs and decimal places — the free marks around every answer.

GCSE maths flashcards

Proportion routines and percentage facts, drilled.

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